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Finding the Fourth Proportional to 335.20, 461.92 and 252.16

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Solution

The fourth proportional to 335.20, 461.92 and 252.16 is: 347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.20 : 461.92 = 252.16 : x
  2. Step 2: Convert to fraction form
    335.20/461.92 = 252.16/x
  3. Step 3: Cross multiply
    335.20x = 461.92 × 252.16
  4. Step 4: Simplify right side
    335.20x = 116,477.75
  5. Step 5: Solve for x
    x = 116,477.75/335.20
  6. Step 6: Final answer
    x = 347.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.